Use formulas from this course to find the inverse Laplace transform (a) L-1{+1) 2s+1 1 252+8 (b) L-1{e-2ñs, (c) L-{s+5 } s-1

Q: Find the inverse Laplace transform of the following: 1. L-1 2s+1 (s+1)²,

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Q: 5s-2 s2 (s+2)(s-1)

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Q: 4s – 9 f(s) = (s – 3)3

A: We have to find inverse Laplace transform

Q: Let Rt) be the inverse Laplace transform of 7s2 + 15s – 6 F(s) = (s? + 6s + 10)(s – 2) What is 3/2)?

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Q: Find the inverse Laplace Transform of: 11 5s 3 1 F(s) s2 + 3 s2 + 9' 5s – 7 s4

A: Use the formulas below to calculate the inverse Laplace transform.

Q: Find the Inverse Laplace Transform of 1 s²-8s+25

A: The given function is 1s2-8s+25 completing squares 1s2-8s+25=1s2-8s+16+9=1s2-24s+42+9=1s-42+9

Q: Find the inverse Laplace transform of: 2 s² + 4

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Q: Look for the inverse Laplace transform L^ -1 {s-2/(s^2+2s+26}

A: Given expression is L−1s−2s2+2s+26 We have to find the inverse Laplace transform. First of all, we…

Q: Question included in image

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Q: Find the inverse Laplace transform of 1 G(s) = s2 – 4s + 5

A: Given,

Q: Determine the Laplace transform of e-5t sinh(6t) · е s+5 s2 – 10s–11 6. s2 – 10s-11 s+5 10

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Q: determine the inverse Laplace transform of F.

A: Given:

Q: s2 +s - 2 X(s) : (s2 + 8s + 15)

A: According to the given information, it is required to find the inverse laplace transform.

Q: Find the inverse Laplace transform of [(18s)/((s2+9)2)]e-2s

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Q: determine the inverse Laplace transform of F.

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Q: Find the inverse Laplace transform of 2e-8s F(s) = s² + 9

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Q: 7s2 – 3s + 26 F(s) (8 – 1)(s² + 9)

A: Explanation of the solution is given below...

Q: Find the inverse Laplace transform of H(s) -6e-2s s2 – 2s

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Q: 6. Suppose you are working out the Laplace transform of f(t) = e'+4t using the definition of the…

A: Answer

Q: Find the inverse Laplace transform of: S-3 F(s) = (s-3)2+4 S-2

A: It is known that:

Q: 35-1 F(s) -

A: The given function isF(s)=3s-1s2+25

Q: determine the inverse Laplace transform of F.

A:

Q: Find the inverse Laplace transform of e-6s F(s) = s2 + 3s – 10 (Use step(t-c) for u (t) .)

A: The given problem is to find the inverse Laplace transform of the given function F(s). Given…

Q: Find the Inverse Laplace Transform e-3"(2s + 7) L-1 s2 + 16

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Q: 5s + 1 s2 – 7s + 12 F(s) =

A: To find: Inverse Laplace transform of F(s)=5s+1s2-7s+12.

Q: Determine the inverse Laplace transform of the given function 25 L-1 [s²(s² + 4s + 5)]

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Q: 7s-2 F(s) = (s+3)(s-4)(5s-1)

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Q: FIND THE LAPLACE TRANSFORM AND INVERSE LAPLACE TRANSFORM dx - + 7 = 5 cos 2t dy -

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Q: Find the inverse Laplace transform of: S - 1 2s2 + s + 6

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Q: Determine the inverse laplace transform of this function: 2 5+1 (s + 3)(5 +4s + 5)

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Q: Q2:Find the inverse Laplace transform of e-2s F (s) s2 – 2s – 3 - -

A: We have to find the inverse Laplace transform of given function.

Q: 5s-6 s2-3s

A: Given Laplace transform is; (5s-6)/(s2-3s).

Q: A function has a Laplace transform of F(s) = If this function is %3D s2-36 multiplied by t², what…

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Q: Find the inverse Laplace transform of 7s + 3 s > 0 s2 + 17

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Q: find the Laplace Transform.  1. (t-1)4 2. e-2t-5

A: Use Basic Formulae in Laplace Transform to find result by following way.

Q: 3. Find the inverse Laplace transform of: 2s2 + 3s - 5 F(s) = s(s + 1)(s – 2)

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Q: )find the inverse Laplace transform 1 L-1 (p2 +1)2,

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Q: Find the inverse Laplace transform of 5s + 1 F(s) = s2 – 7s + 12

A: F(s)=5s+1s2-7s+12       =5s+1s2-3s-4s+12       =5s+1s(s-3)-4(s-3)       =21(s-3)-16(s-4)(s-3)(s-4)…

Q: Find the inverse Laplace transform of: - s-3 i) F(s) = %3D (s-3)2+4 s-2

A: It is known that:

Q: 6s + 15 s >0 s2 + 25

A: The given function is    9s+15s2+25        s>0     we have to find inverse Laplace Transform of…

Q: Find the inverse Laplace transform of 16s3 + 25s2 – 4s + 40 e-78 F(s) s>7. 4s4 + 35s2 – 9

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Q: +5s, The inverse Laplace transform of is 1 1 5 5 f(t) = S sin 5t - sin

A: It is required to find inverse Laplace transform of L-11s3+5s. That is, L-11s3+5s=L-11ss2+5 Here…

Q: Find the Laplace transform of e-2t(sinh(2t))2.

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Q: Find the inverse Laplace transform of the function: 2s3 + 9s² + 11s + 3 F(s) = (s + 1)3 s

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Q: 3s+1 5.) f(s) = s² +6s+13

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Q: 3s-2 F (s) 2s2 –6s-2

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Q: Find the inverse laplace transform of 2s s2+9

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Q: Solve for the laplace transform using the formula. 9. F(t) = e-2t-

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